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A080941 Greatest divisor of n which is less n and also a suffix of n in binary representation; a(n)=0 if no such divisor exists. +0
9
0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 4, 1, 2, 3, 0, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 3, 4, 1, 6, 1, 0, 1, 2, 1, 4, 1, 2, 3, 8, 1, 2, 1, 4, 5, 2, 1, 16, 1, 2, 3, 4, 1, 6, 1, 8, 1, 2, 1, 12, 1, 2, 7, 0, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 3, 4, 1, 6, 1, 16, 1, 2, 1, 4, 5, 2, 3, 8, 1, 10, 1, 4, 1, 2, 1, 32, 1, 2, 3, 4, 1, 6, 1 (list; graph; listen)
OFFSET

1,6

COMMENT

a(n)=0 iff n=2^k (A000079);

EXAMPLE

n=30='11110', divisors<30: 1='1', 2='10', 3='11', 5='101', 6='110', 10='1010', and 15='1111', therefore a(30)=2='10';

n=31='11111', divisors<31: 1='1', therefore a(31)=1;

n=32='100000', divisors<32: 1='1', 2='10', 4='100', 8='1000', and 16='10000', therefore a(32)=0.

CROSSREFS

Cf. A007088, A080940, A080942.

Sequence in context: A076092 A080468 A080940 this_sequence A114021 A053616 A094718

Adjacent sequences: A080938 A080939 A080940 this_sequence A080942 A080943 A080944

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Feb 25 2003

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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